Let $R$ be a reflexive relation on a set $A$ and $I$ be the identity relation on $A$. Then
$R \subset I$
$I \subset R$
$R = I$
None of these
Let $P$ be the relation defined on the set of all real numbers such that
$P = \left\{ {\left( {a,b} \right):{{\sec }^2}\,a - {{\tan }^2}\,b = 1\,} \right\}$. Then $P$ is
Let $R$ be a relation on the set $A$ of ordered pairs of positive integers defined by $(x, y) R (u, v)$ if and only if $x v=y u .$ Show that $R$ is an equivalence relation.
If $R$ is a relation from a set $A$ to a set $B$ and $S$ is a relation from $B$ to a set $C$, then the relation $SoR$
An integer $m$ is said to be related to another integer $n$ if $m$ is a multiple of $n$. Then the relation is
Let $R$ be a relation on a set $A$ such that $R = {R^{ - 1}}$, then $R$ is